Higgs bundles and surface group representations in non-compact real groups
Woolly Owl - host Oxford
Abstract
15th Biennial OXFORD / CAMBRIDGE MEETING
PROGRAMME FOR THE
‘WOOLLY OWL TROPHY’
Invited Judges
John Harper
(Victoria University of Wellington, NZ)
Arash Yavari
(Georgia Tech, Atlanta, USA)
Sharon Stephen
(University of Birmingham, UK)
10:45 Morning Coffee The Maths Inst Common Room
Geometry and topology of data sets
Abstract
Coarse geometry provides a very useful organising point of view on the study
of geometry and analysis of discrete metric spaces, and has been very
successful in the context of geometric group theory and its applications. On
the other hand, the work of Carlsson, Ghrist and others on persistent
homology has paved the way for applications of topological methods to the
study of broadly understood data sets. This talk will provide an
introduction to this fascinating topic and will give an overview of possible
interactions between the two.